Question

The sides of a rectangular piece of paper are in the ratio 2:3 if the area is 150 sq.cm find the length of its sides

Answer 1

width = 2x

length = 3x

 

2x(3x) = 150

6x2  = 150

x2 = 25

x = ±5

 

Measurement is only positive.

 

Width is 10 in and length is 15 in.

Answer 2

here is your answer

Given ratio :-

2:3

Let

2x and 3x are sides of rectangle

a/q

Length × breadth = 150 sq.cm

2x × 3x = 150
$2x × 3x = 150 \\ 6x {}^{2} = 150 \\ x {}^{2} = \frac{150}{6} \\ x {}^{2} = 25 \\ x = \sqrt{25} \\ x = 5$
now ,

2x = 2× 5 = 10 (breadth of rectangle)

3x = 3× 5 = 15 (length of rectangle)

hope it helps you